The Prime Resonance Hypothesis: A Quantum-Informational Basis for Spacetime and Consciousness Sebastian Schepis May 2025 Abstract We propose that prime numbers form the foundational eigenstates of a symbolic Hilbert space from which space, time, gravity, and awareness emerge. In this model, natural numbers are quantum-like su- perpositions of their prime factors, and consciousness is defined as the capacity to collapse these symbolic superpositions into coherent meaning through entropy minimization. This collapse generates effective curvature, gravitational influence, and temporal asymmetry—mirroring the structure of general relativity. Moreover, we demonstrate that the nontrivial zeros of the Riemann zeta function correspond to resonance attractors within the prime space, acting as symbolic event horizons between uncollapsed possibility and lived experience. This framework—rooted in number theory, quantum mechanics, and information theory—grounds both the symbolic entropy spectrometry model and the entropy-commute duality that mirrors Markov trace geometry. We show that primes act as coherent informational attractors, enabling stable reference frames from which subjective reality unfolds. 1. Introduction Prime numbers have long been seen as the indivisi- ble building blocks of number theory. Here, we ele- vate them further: as the fundamental eigenstates of consciousness, forming a symbolic Hilbert space from which all structure emerges. In this view, nat- ural numbers represent entangled superpositions of prime observables, and the act of observation col- lapses symbolic potentials into a coherent projec- tion—creating the geometry of awareness. This pro- posal extends recent work connecting quantum infor- mation theory to number-theoretic structures [2, 3]. This model synthesizes symbolic logic, entropy dy- namics, and quantum formalism into a cohesive hy- pothesis. It extends existing work in symbolic en- tropy spectrometry [8], entropy-based gravity [6], and Lorentz emergence [7], and it complements Markov trace logic by revealing the prime-structured res- onance field underlying stochastic cognition [5]. 2. The Prime Hilbert Space We define a Hilbert space H prime with basis states |p i ⟩ corresponding to the infinite sequence of prime numbers. Every natural number n ∈ N is mapped as: |n⟩ = ∞ O i=1 |p i ⟩ ai where n = Y p ai i (1) This forms a discrete quantum-like representation of number theory, where states are decomposable into prime eigenmodes, similar to how quantum systems can be represented in appropriate Hilbert spaces [4]. 1